Answer:
To order fractions from least to greatest, start by finding the lowest common denominator for all of the fractions. Next, convert each of the fractions by dividing the lowest common denominator by the denominator and then multiplying the top and bottom of the fraction by your answer.
Step-by-step explanation:
Hope this helps ❤️
Part B: I think the relation that has the greater value when x=6 is f(x) = 7x - 15 because:
7(6) - 15 = 27 which is greater than the output of 14.
Part C: the value of x would be 3 because:
f(x) = 7x - 15
6 = 7x - 15
+ 15 +15
21 = 7x
3 = x
Sorry if any of this is wrong.
"measures to the nearest tenth of a pound" tell us to round each of the weights listed to the nearest tenth (since the unit is already pounds, no conversion is needed). What this means is if the second number to the right of the decimal is 5 or greater, then we add 1 to the first number to the right of the decimal (and replace the second number with a zero). With all this said, it's much easier to show you, rather than to try to explain it. :D
4.35 is rounded up to 4.4 because the second number to the right of the decimal is 5.
Packet A = 4.4
Packet B = 4.4
Packet C = 4.5
Packed D = 4.4
The question is asking what the heaviest reading will be, so from the whole list above we pick the highest number which is 4.5 pounds. Notice how the answer is not Packet C, or 4.48 pounds, but 4.5 pounds. It is asking for the reading, not the packet, nor the weight. Hope this helps.
I'm guessing the second derivative is for <em>y</em> with respect to <em>x</em>, i.e.

Compute the first derivative. By the chain rule,

We have


and so

Now compute the second derivative. Notice that
is a function of
; so denote it by
. Then

By the chain rule,

We have

and so the second derivative is

Answer:
Jose will need 39.25 square inches of paper to wrap the stack of coins
Explanation:
The resulting figure of a stack of 100 coins will be a right circular cylinder. We assume that Jose wraps around the cylinder (so it means not including the bases). Therefore we are solving for the lateral surface area of the cylinder: LSA = 2πrh.
To solve for height h, we multiply the thickness of the coin 100 times.
h = 100 * 1/8 in = 12.5 inches
Solving for radius r:
r = 1 inch/2 = 0.5 inches
LSA = 2(3.14)(0.5 in)(12.5 in) = 39.25 square inches